Bent functions are equivalent to certain
Hadamard matrices and difference sets;
see, e.g.,
[1]} and
[2]}.
The concept has been generalized, yielding
equivalences between various associated
objects. Indeed, our paper is inspired by
Schmidt's survey [3]}, which describes
equivalences between generalized bent functions,
group invariant Butson Hadamard matrices,
and splitting relative difference sets.
There is also a connection to perfect arrays,
not covered in [3]}.
